My intention with this blog is to share some of the more interesting curiosities of math. Often in the form of mathematical puzzles, riddles or paradoxes. Some can be applied to the real world, showing that all is not always what it seems. I'll include a calculation now and then but will keep it light — heck I'm far from a math wizz myself.

Tuesday, May 10, 2011

In Greek mythology, Achilles was a hero of the Trojan War. Some 2500 years ago, philosopher Zeno of Elea included him into one of his paradoxes. Achilles was quite the runner... or maybe the paradox shows otherwise.

Suppose Achilles was in a 100 meter foot race with a tortoise. The tortoise is given a 25 meter head start. It would seem obvious that when Achilles eventually starts running, he will easily overtake the tortoise and then comfortably reach the finish line (with time to spare). Looking at it logically though, one could wonder how Achilles can ever beat the tortoise.